{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " \n", "
\n", "\n", "# Advanced Interval Plotting\n", "Author(s): Paul Miles | Date Created: July 18, 2019\n", "\n", "For the purpose of this example we will consider the Monod model demonstrated [here](Monod.ipynb)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.9.0\n" ] } ], "source": [ "import numpy as np\n", "import scipy.optimize\n", "from pymcmcstat.MCMC import MCMC\n", "import matplotlib.pyplot as plt\n", "import pymcmcstat\n", "print(pymcmcstat.__version__)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def model(q, data):\n", " x = data.xdata[0]\n", " a, b = q\n", " y = a*x/(b + x)\n", " return y.reshape(y.size,)\n", "\n", "def ssfun(q, data):\n", " yd = data.ydata[0]\n", " ym = model(q, data).reshape(yd.shape)\n", " return ((yd - ym)**2).sum()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Iteration Total nfev Cost Cost reduction Step norm Optimality \n", " 0 1 1.8012e-03 6.53e-02 \n", " 1 3 5.7019e-04 1.23e-03 2.18e+01 5.81e-03 \n", " 2 4 4.2786e-04 1.42e-04 3.68e+01 3.09e-03 \n", " 3 5 4.0841e-04 1.95e-05 7.61e+00 3.51e-04 \n", " 4 6 4.0839e-04 2.00e-08 7.33e-02 1.57e-07 \n", " 5 7 4.0839e-04 5.23e-12 4.69e-03 1.56e-10 \n", "`gtol` termination condition is satisfied.\n", "Function evaluations 7, initial cost 1.8012e-03, final cost 4.0839e-04, first-order optimality 1.56e-10.\n" ] } ], "source": [ "from pymcmcstat.MCMC import DataStructure\n", "data = DataStructure()\n", "# data structure\n", "x = np.array([28, 55, 83, 110, 138, 225, 375]) # (mg / L COD)\n", "y = np.array([0.053, 0.060, 0.112, 0.105, 0.099, 0.122, 0.125]) # (1 / h)\n", "data.add_data_set(x, y)\n", "# Calculate initial covariance matrix\n", "def residuals(q):\n", " yd = data.ydata[0]\n", " ym = model(q, data)\n", " res = yd - ym.reshape(yd.shape)\n", " return res.reshape(res.size, )\n", "\n", "ls0 = scipy.optimize.least_squares(residuals, [0.15, 100],\n", " verbose=2, max_nfev=100)\n", "theta0 = ls0.x\n", "n = data.n[0] # number of data points in model\n", "p = len(theta0) # number of model parameters (dof)\n", "ssmin = ssfun(theta0, data) # calculate the sum-of-squares error\n", "mse = ssmin/(n-p) # estimate for the error variance\n", "J = np.array([[x/(theta0[1]+x)], [-theta0[0]*x/(theta0[1]+x)**2]])\n", "J = J.transpose()\n", "J = J.reshape(n, p)\n", "tcov = np.linalg.inv(np.dot(J.transpose(), J))*mse" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Sampling these parameters:\n", " name start [ min, max] N( mu, sigma^2)\n", "$\\mu_{max}$: 0.15 [ 0.00e+00, inf] N( 0.00e+00, inf)\n", " $K_x$: 49.05 [ 0.00e+00, inf] N( 0.00e+00, inf)\n", " [-----------------100%-----------------] 5000 of 5000 complete in 1.0 sec\n", "\n", "------------------------------\n", "name : mean std MC_err tau geweke\n", "$\\mu_{max}$: 0.1544 0.0220 0.0008 10.8093 0.9298\n", "$K_x$ : 61.7267 29.0816 1.2178 15.6448 0.7330\n", "------------------------------\n", "==============================\n", "Acceptance rate information\n", "---------------\n", "Results dictionary:\n", "Stage 1: 32.62%\n", "Stage 2: 49.36%\n", "Net : 81.98% -> 4099/5000\n", "---------------\n", "Chain provided:\n", "Net : 81.98% -> 4099/5000\n", "---------------\n", "Note, the net acceptance rate from the results dictionary\n", "may be different if you only provided a subset of the chain,\n", "e.g., removed the first part for burnin-in.\n", "------------------------------\n" ] } ], "source": [ "# Initialize MCMC object\n", "mcstat = MCMC()\n", "mcstat.data = data\n", "# Define model parameters, simulation options, and model settings.\n", "mcstat.parameters.add_model_parameter(\n", " name='$\\mu_{max}$',\n", " theta0=theta0[0],\n", " minimum=0)\n", "mcstat.parameters.add_model_parameter(\n", " name='$K_x$',\n", " theta0=theta0[1],\n", " minimum=0)\n", "mcstat.simulation_options.define_simulation_options(\n", " nsimu=int(5.0e3),\n", " updatesigma=True,\n", " qcov=tcov)\n", "mcstat.model_settings.define_model_settings(\n", " sos_function=ssfun,\n", " sigma2=0.01**2)\n", "# Run simulation\n", "mcstat.run_simulation()\n", "# Extract results and print statistics\n", "results = mcstat.simulation_results.results\n", "names = results['names']\n", "chain = results['chain']\n", "s2chain = results['s2chain']\n", "names = results['names'] # parameter names\n", "mcstat.chainstats(chain, results)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Credible/Prediction Intervals\n", "Define function for generating intervals, setup calculations, and generate." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r", " [-----------------100%-----------------] 500 of 500 complete in 0.0 sec" ] } ], "source": [ "from pymcmcstat.propagation import calculate_intervals\n", "\n", "intervals = calculate_intervals(chain, results, data, model,\n", " s2chain=s2chain, nsample=500, waitbar=True)\n", "def format_plot():\n", " plt.xlabel('x (mg/L COD)', fontsize=20)\n", " plt.xticks(fontsize=20)\n", " plt.ylabel('y (1/h)', fontsize=20)\n", " plt.yticks(fontsize=20)\n", " plt.title('Predictive envelopes of the model', fontsize=20);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting\n", "Required inputs:\n", "- `intervals`: Output from `calculate_intervals`\n", "- `time`: Independent x-axis values\n", "\n", "Available inputs: (Defaults in Parantheses)\n", "- `ydata`: Observations, expect 1-D array if defined. (`None`)\n", "- `xdata`: Independent values corresponding to observations. This is required if the observations do not align with your times of generating the model response. (`None`)\n", "- `limits`: Quantile limits that correspond to percentage size of desired intervals. Note, this is the default limits, but specific limits can be defined using the ciset and piset dictionaries.\n", "- `adddata`: Flag to include data. (`False`, - if `ydata` is not `None`, then `True`)\n", "- `addmodel`: Flag to include median model response. (`True`)\n", "- `addlegend`: Flag to include legend. (`True`)\n", "- `addcredible`: Flag to include credible intervals. (`True`)\n", "- `addprediction`: Flag to include prediction intervals. (`True`)\n", "- `fig`: Handle of previously created figure object. (`None`)\n", "- `figsize`: (width, height) in inches. (`None`)\n", "- `legloc`: Legend location - matplotlib help for details. (`'upper left'`)\n", "- `ciset`: Settings for credible intervals. (`None` - see below)\n", "- `piset`: Settings for prediction intervals. (`None` - see below)\n", "- `return_settings`: Flag to return ciset and piset along with fig and ax. (`False`)\n", "- `model_display`: Model display settings. (See below)\n", "- `data_display`: Data display settings. (See below)\n", "- `interval_display`: Interval display settings. (See below)\n", "\n", "Default general display options:\n", "- `interval_display = {'linestyle': ':', 'linewidth': 1, 'alpha': 0.5, 'edgecolor': 'k'}`\n", "- `model_display = {'linestyle': '-', 'marker': '', 'color': 'r', 'linewidth': 2, 'markersize': 5, 'label': 'model', 'alpha': 1.0}`\n", "- `data_display = {'linestyle': '', 'marker': '.', 'color': 'b', 'linewidth': 1, 'markersize': 5, 'label': 'data', 'alpha': 1.0}`\n", "\n", "Display options specify to credible and prediction intervals:\n", "- `limits`: This should be a list of numbers between 0 and 100, e.g., limits=[50, 90] will result in 50% and 90% intervals.\n", "- `cmap`: The program is designed to “try” to choose colors that are visually distinct. The user can specify the colormap to choose from.\n", "- `colors`: The user can specify the color they would like for each interval in a list, e.g., [‘r’, ‘g’, ‘b’]. This list should have the same number of elements as limits or the code will revert back to its default behavior." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case 1: Use default settings" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pymcmcstat.propagation import plot_intervals\n", "plot_intervals(intervals, data.xdata[0])\n", "format_plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case 2: Include Data and Adjust Appearance" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data_display = dict(\n", " marker='o',\n", " color='k',\n", " markersize=10)\n", "plot_intervals(intervals, data.xdata[0], data.ydata[0],\n", " data_display=data_display, adddata=True)\n", "format_plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case 3: Adjust Appearance of Model" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model_display = dict(\n", " linestyle='-.',\n", " linewidth=3,\n", " color='r',\n", " marker='o',\n", " markersize=10)\n", "plot_intervals(intervals, data.xdata[0], data.ydata[0],\n", " model_display=model_display, adddata=True)\n", "format_plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case 3: Adjust Appearance of Intervals" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "interval_display = dict(\n", " linestyle='-',\n", " linewidth=3,\n", " alpha=0.75,\n", " edgecolor='k')\n", "plot_intervals(intervals, data.xdata[0], data.ydata[0],\n", " interval_display=interval_display, adddata=True)\n", "format_plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Case 4: Specify Credible Intervals Size and Colors\n", "- Turn off prediction intervals\n", "- Specify colors using color map or directly\n", "- Adjust legend location" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import cm\n", "ciset = dict(\n", " limits=[50, 90, 95, 99],\n", " cmap=cm.Blues)\n", "f, ax = plot_intervals(intervals, data.xdata[0], data.ydata[0], addprediction=False,\n", " adddata=True, ciset=ciset)\n", "format_plot()\n", "f.tight_layout()\n", "\n", "ciset = dict(\n", " limits=[50, 90, 95, 99],\n", " cmap=cm.Blues,\n", " colors=['r', 'g', 'b', 'y'])\n", "f, ax = plot_intervals(intervals, data.xdata[0], data.ydata[0], addprediction=False,\n", " adddata=True, ciset=ciset)\n", "ax.legend(loc='center left', bbox_to_anchor=(1, 0.5),\n", " fancybox=True, shadow=True, ncol=1)\n", "format_plot()\n", "f.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.3" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": true, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "165px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }